SOLUTION: Which of the following conditions cannot be used for checking that two triangle are congruent? (1) two corresponding angles and corresponding sides are equal (2) two correspondin

Question 499186: Which of the following conditions cannot be used for checking that two triangle are congruent?
(1) two corresponding angles and corresponding sides are equal
(2) two corresponding sides and the corresponding included angles are equal
(3) three corresponding angles are equal
(4) three corresponding sides are equal
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
Use the process of elimination.
.
Which of the following conditions cannot be used for checking that two triangle are congruent?
(1) two corresponding angles and corresponding sides are equal
(2) two corresponding sides and the corresponding included angles are equal
(3) three corresponding angles are equal
(4) three corresponding sides are equal
.
(1) Clearly this will work because with 2 angles and 2 sides, there is no freedom for the third side. The third angle has to be 180 - sum of the 2 sides. The third side has to be fixed.
.
(2) This will work, too. The third angle is defined by knowing the two angles. The third side of the triangle is defined precisely and has not freedom to vary.
.
(3) This will not work. The triangles will be similar if all three angles are equal. But one could be microscopic and the other could be the drawn on a football field.
.
(4) This works. If the sides are all the same length, then the angles will be the same.
.
Question: Which will not work? (3) will not work.
RELATED QUESTIONS
Which of the following conditions cannot be used for checking that two triangle are... (answered by Theo)

Fundamental Ideas Points, Lines, and Planes Postulates and Theorems Segments,... (answered by richard1234)

Suppose two angles are supplementary. Which of the following terms CANNOT describe both... (answered by macston)

The question asks: Which of the following angles are congruent? If they aren't congruent, (answered by solver91311)

Prove that two right triangles are congruent if the corresponding altitudes and angle... (answered by ikleyn)

7. If two polygons are ___________ if their verticals can be paired so that corresponding (answered by robertb)

Haley's art teacher has assigned her students a project in which they need to demonstrate (answered by rapaljer)

Two sqaures are congruent if and only... A. Any two congruent angles are congruent B.... (answered by MathLover1)

In a pair of triangles, if two pairs of corresponding sides are proportional, and the... (answered by MathLover1)